λ
Harmonic Matrix

5,967,359

29 × 347 × 593
Deficient Odd Composite

5,967,359 has digital root 8. The neighboring primes are 5967347 and 5967433; its proper-divisor sum differs from the starting integer by -5,733,358.

Prime Factor Structure

Factorization String 29 × 347 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,201,360
Proper Divisor Sum 234,001
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5967347 ← → #5967433

Radix Representation

Decimal 5967359
Binary 10110110000110111111111 (23 bits)
Octal 0o26606777
Hexadecimal 0x5B0DFF

Divisor Catalog (8)

1 29 347 593 10,063 17,197 205,771 5,967,359

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,967,359 17,902,078 8,951,039 26,853,118 13,426,559 40,279,678 20,139,839 60,419,518 30,209,759 90,629,278 45,314,639 135,943,918 67,971,959 203,915,878 101,957,939 305,873,818 152,936,909 458,810,728 229,405,364 114,702,682 57,351,341 172,054,024 86,027,012 43,013,506 21,506,753 64,520,260 32,260,130 16,130,065 48,390,196 24,195,098 12,097,549 36,292,648 18,146,324 9,073,162 4,536,581 13,609,744 6,804,872 3,402,436 1,701,218 850,609 2,551,828 1,275,914 637,957 1,913,872 956,936 478,468 239,234 119,617 358,852 179,426 89,713 269,140 134,570 67,285 201,856 100,928 50,464 25,232 12,616 6,308

More profiles

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